In this section, we acquire a differential equation already obtained in [1]} that interlinks the Weyl scalar and certain fluid variables to comprehend the evolution of astrophysical system. In our case, it reads
\(\left[\epsilon +\frac{1}{f_R}(-4\pi \mu +4\pi \Pi +\zeta _4)\right]^.=\frac{3\dot{\hat{R}}}{\hat{R}}\left(\frac{4\pi }{f_R}(\mu +P_\bot )-\epsilon \right)+\frac{12\pi qA\hat{R}^{\prime }}{B\hat{R}f_R}+\zeta _5.\) 
